Prime p₀= 2130038753442718379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Time_Traveler
db: batch=80, k=10, 2 46 2 10 2

SPT(16)	2130037671596134879	0 12 28 40 42 52 88 102 160 174 210 220 222 234 250 262	-1081846583500
STPT(10)	2130037723615931807	0 2 30 32 42 44 54 56 84 86	-1029826786572
SPT(16)	2130038221381892273	0 20 78 90 156 158 210 228 326 344 396 398 464 476 534 554	-532060826106
SPT(16)	2130038375831636297	0 42 44 74 102 110 114 122 144 152 156 164 192 222 224 266	-377611082082
STPT(10)	2130038561741031047	0 2 30 32 42 44 54 56 84 86	-191701687332
STPT(10)	2130038586545755997	0 2 42 44 72 74 102 104 144 146	-166896962382
SPT(16)	2130038755207605239	0 2 20 32 60 90 104 110 132 138 152 182 210 222 240 242	1764886860
STPT(10)	2130038792118046001	0 2 90 92 108 110 126 128 216 218	38675327622
STPT(10)	2130039230176805411	0 2 36 38 78 80 120 122 156 158	476734087032
SPT(16)	2130039291385430281	0 90 126 132 148 150 238 246 322 330 418 420 436 442 478 568	537942711902
STPT(10)	2130039321622433327	0 2 30 32 42 44 54 56 84 86	568179714948